1008791680 has 256 divisors, whose sum is σ = 2783743200. Its totient is φ = 346816512.

The previous prime is 1008791671. The next prime is 1008791699. The reversal of 1008791680 is 861978001.

It can be written as a sum of positive squares in 16 ways, for example, as 1617984 + 1007173696 = 1272^2 + 31736^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8927304 + ... + 8927416.

Almost surely, 2^1008791680 is an apocalyptic number.

1008791680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391871600).

1008791680 is an abundant number, since it is smaller than the sum of its proper divisors (1774951520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008791680 is a wasteful number, since it uses less digits than its factorization.

1008791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 1008791680 is about 31761.4810737787. The cubic root of 1008791680 is about 1002.9220135208.

The spelling of 1008791680 in words is "one billion, eight million, seven hundred ninety-one thousand, six hundred eighty".